Wave packets techniques
Lerner, Nicolas1
1 Irmar, Campus de Beaulieu, Université de Rennes 1, 35042 Rennes Cedex, FRANCE
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Exposé no. 6, 15 p.
Lerner, Nicolas 1

1 Irmar, Campus de Beaulieu, Université de Rennes 1, 35042 Rennes Cedex, FRANCE 
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     title = {Wave packets techniques},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
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     pages = {1--15},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1996-1997},
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     mrnumber = {1482812},
     language = {en},
     url = {http://archive.numdam.org/item/SEDP_1996-1997____A6_0/}
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Lerner, Nicolas. Wave packets techniques. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1996-1997), Exposé no. 6, 15 p. http://archive.numdam.org/item/SEDP_1996-1997____A6_0/

[BF] R.Beals, C.Fefferman, On local solvability of linear partial differential equations, Ann. of Math. 97, 482-498, (1973). | MR | Zbl

[Be] F.A.Berezin, Quantization, Math. USSR, Izvest.8, 1109-1165, (1974). | Zbl

[CF] A.Cordoba, C.Fefferman, Wave packets and Fourier integral operators,Comm. PDE, 3(11), 979-1005, (1978). | MR | Zbl

[D1] N.Dencker, The solvability of non-solvable operators, Saint Jean de Monts meeting, 1996. | Numdam | Zbl

[D2] N.DenckerA class of solvable operators, to appear in PNLDE series, Birkhäuser. | MR | Zbl

[FP] C.Fefferman, D.H.Phong, On positivity of pseudo-differential operators, Proc.Nat.Ac.Sc., 4673-4674, (1978). | MR | Zbl

[H1] L.Hörmander, The analysis of linear partial differential operators, Springer-Verlag, (1985). | Zbl

[H2] L.Hörmander On the solvability of pseudodifferential equations, pp183–213, Structure of solutions of differential equations, World Scientific Singapore, New Jersey, London, HongKong, editors M.Morimoto and T. Kawai, 1996. | MR | Zbl

[La] B.Lascar, Condition nécessaire et suffisante d’ellipticité en dimension infinie, Comm. PDE 2(1) 31-67, (1977). | Zbl

[L1] N.Lerner, Sufficiency of condition (ψ) for local solvability in two dimensions, Ann. of Math.128, 243-258, (1988). | MR | Zbl

[L2] N.Lerner, An iff solvability condition for the oblique derivative problem, Séminaire EDP, Ecole Polytechnique, exposé 18, (1990-91). | Numdam | MR | Zbl

[L3] N.Lerner, Nonsolvability in L 2 for a first order operator satisfying condition (ψ), Ann. of Math.139, 363-393, (1994). | MR | Zbl

[L4] N.Lerner, Coherent states and evolution equations, General theory of partial differential equations and microlocal analysis, Qi Min-you, L.Rodino (editors) Pitman Research notes 349, Longman. | MR | Zbl

[L5] N.Lerner, The Wick calculus of pseudo-differential and energy estimates, “New trends in microlocal analysis", J.-M. Bony, M.Morimoto (editors), Springer-Verlag 1997. | Zbl

[L6] N.Lerner, Energy methods via coherent states and advanced pseudo-differential calculus, “Multidimensional complex analysis and partial differential equations", P.D.Cordaro, H.Jacobowitz, S.Gindikin (editors), AMS, 1997. | Zbl

[NT] L.Nirenberg, F.Treves, On local solvability of linear partial differential equations, Comm. Pure Appl. Math. 23, 1-38 and 459-509, (1970); 24, 279-288, (1971). | Zbl

[Un] A.Unterberger, Oscillateur harmonique et opérateurs pseudo-différentiels, Ann. Inst. Fourier 29 , 201-221, (1979). | Numdam | MR | Zbl